Chinese Physics C > 1980, Vol. 4 > Issue(4): 478-492

ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

Sun Hong-zhou

Peking University

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Abstract：
With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchain U ₅ R ₅ SU ₂× SU ₂' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chain U ₅ R ₅ R ₃ are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority number Pis derived and a table of the PandI values for P≤30 is given.

References

[1]	B. F. Bayman, Some Lectures on Group and Their Application to Spectroscopy, Nordita, 1960.[2] T. Hecht, Nucl. Phys., 63(1965).117.[3] A .Arima and F. Iachllo, Ann. Phys., 99(1976), 253.[4] J. Weber et al., Z. Physik, 190(1966),25.[5] N. Kemmer et al. J. Math. Phys., 9(1968), 1224, 1230.

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Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492.

Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS[J]. Chinese Physics C, 1980, 4(4): 478-492. shu

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Received: 1978-07-24
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS

Sun Hong-zhou

Peking University

Received Date:1978-07-24
Accepted Date:1900-01-01
Available Online:1980-08-05

Abstract:With the help of the commutation relations of the creation and annihilation opera-tors, the wave functions for the nuclear quadruple oscillations are discussed. An ex-plicit expression for the phonon wave functions constructed according to the groupchainU₅R₅SU₂×SU₂' and some of their important relations are given. Theunitary transformation loefficiens from the basis mentioned above to the one construe-ted according to the group chainU₅R₅R₃are also discussed. A formula for thetransformation coefficients is given. In this paper, a general formula of the multiplicity factor for given angular mo-mentum quantum number I and seniority numberPis derived and a table of thePandI values forP≤30 is given.